The generator matrix

1 0 0 0 0 0 1 1 1 X 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0
0 1 0 0 0 0 0 0 0 0 0 0 X X 1 1 1 1 X+1 1 X+1 X X X+1 1
0 0 1 0 0 0 0 0 X X 1 1 1 X+1 X+1 1 1 X+1 0 X 1 X 1 X 1
0 0 0 1 0 0 1 X 1 1 0 X+1 0 1 0 X X X 1 X+1 1 0 X+1 0 0
0 0 0 0 1 0 1 X+1 0 1 X X+1 1 0 X X+1 1 0 X 1 0 1 X X+1 X+1
0 0 0 0 0 1 X 1 1 X+1 1 X+1 0 X 1 X 1 0 0 X+1 X+1 X X+1 0 1

generates a code of length 25 over Z2[X]/(X^2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+146x^18+442x^20+652x^22+792x^24+840x^26+669x^28+388x^30+143x^32+22x^34+1x^44

The gray image is a linear code over GF(2) with n=50, k=12 and d=18.
This code was found by Heurico 1.10 in 0.219 seconds.